Data acquisition & sampling worksheet with answers

Free printable Data acquisition & sampling worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A sensor signal contains frequencies up to 1 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 1 kHz

f_s,min = kHz

2.Easy

A data logger samples 6 channels, each at 44.1 kHz with 10-bit resolution. Find the raw data rate R_b in kbit/s.

n = 6f_s = 44.1 kHzN = 10

R_b = kbit/s

3.Medium

A 12-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 5.047 V.

N = 12V_FSR = 10 VV_in = 5.047 V

D =

4.Medium

A 12-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 1.561 V.

N = 12V_FSR = 2.5 VV_in = 1.561 V

D =

5.Hard

A microcontroller with an 8 MHz clock sets its UART baud rate as f_clk/(16·D), with D a whole number rounded to the nearest value. The target is 38400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 8 MHztarget = 38400 Bd

e = %

6.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 10 µs, and after every channel switch the input needs 2 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 4t_c = 10 µst_set = 2 µs

f_s = kHz

Answer key

1. f_s,min = 2 kHz
2. R_b = 2646 kbit/s
3. D = 2067
4. D = 2557
5. e = 0.1603 %
6. f_s = 20.83 kHz

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